A version of Hill's lemma for Cosserat continuum

被引：19

作者：

Li, Xikui ^{[1
]}

Liu, Qipeng ^{[1
]}

机构：

[1] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China

来源：

ACTA MECHANICA SINICA | 2009年 / 25卷 / 04期

基金：

澳大利亚研究理事会; 中国国家自然科学基金;

关键词：

Hill's lemma; Hill-Mandel condition; Cosserat continuum; Average-field theory; RVE boundary conditions;

D O I：

10.1007/s10409-009-0231-0

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

On the basis of Hill's lemma for classical Cauchy continuum, a version of Hill's lemma for micro-macro homogenization modeling of heterogeneous Cosserat continuum is presented in the frame of average-field theory. The admissible boundary conditions required to prescribe on the representative volume element for the modeling are extracted and discussed to ensure the satisfaction of Hill-Mandel energy condition and the first-order average field theory.

引用

页码：499 / 506

页数：8

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